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Finding the Third Proportional to 81,484.73 and 180,465.47

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Solution

The third proportional to 81,484.73 and 180,465.47 is: 399,679.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,484.73 : 180,465.47 = 180,465.47 : x
  2. Step 2: Convert to fraction form
    81,484.73/180,465.47 = 180,465.47/x
  3. Step 3: Cross multiply
    81,484.73x = 180,465.47 × 180,465.47
  4. Step 4: Simplify right side
    81,484.73x = 32,567,785,411.16
  5. Step 5: Solve for x
    x = 32,567,785,411.16/81,484.73
  6. Step 6: Final answer
    x = 399,679.59

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.